M483 day 07 april 23
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Transcript of M483 day 07 april 23
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Assignments• Reading Response for two articles will be e-mailed
today• POW due Wed (Abe’s Pennies)• Let me know your teaching schedule @SMS (e-mail
ok)• Your plan for Monday @ SMS if teaching (e-mail ok)
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Article Responses duePOW due
For SMSTeaching Schedule
Lesson plan plan for Monday this week!
Math 483
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Cutting Corners
12”
9”
Squares are cut from a 9-by-12-inch piece of cardboard so the four flaps can be folded up. What
size squares should be cut so that the volume of the box is the largest possible?
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ReversalsTake a three-digit number, reverse its digits, and subtract the smaller from the larger. Reverse the digits of the result and add.
123 -> 321, 321 – 123 = 198198 -> 891, 198 + 891 = 1089
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IN OUT
+5
x2?
x4
÷8
?x6
-4+2+8
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Lots of SquaresCan you divide a square into a certain number of smaller squares?
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Assignments• Reading Response for two articles will be e-mailed
today• POW due Wed (Staircase Case)
SMS• Let me know your teaching schedule @SMS (e-mail
ok)• Your plan for Monday @ SMS if teaching (e-mail ok)
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Cutting Through the Layers
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n(x) = number of factors of x
n(6) = 4
n(24) = n(288) = n(23 32 54) =
Classify all numbers n so that n(n) =3
Classify all numbers n so that n(n) =2
Find two numbers n and m so that n(nm) = n(nm) - generalize
Find some n so n(n) =6